Holographic renormalization group flows from N=2 4D gauged supergravity

Abstract

In quantum field theories, interactions between particles can be studied by using Feynman diagrams. Calculating loop Feynman diagrams results in infinite values. This problem can be solved by using a process of renormalization that is the method of removing an infinity. Changing a physical system under different scales forms a group called renormalization group. Some renormalization group flows (RG flows) describe deformations of a conformal field theory (CFT) to another conformal or non-conformal theories, resulting in the deformations of a UV conformal fixed point to another fixed point or a non-conformal phase in the IR. In this work, we study holographic RG flows from $N=2$ gauged supergravity with $SO(2)\times SO(6)$ gauge group. The solutions describe RG flows from the $N=2$ CFT to non-conformal field theory in three dimensions driven by mass deformations according to the so-called AdS/CFT correspondence or AdS/CFT holography.